Our school counselor is making a Google Form to ask about future needs at our building, and I am sure there must be a way to make it anonymous, right?

One thing I definitely know about Google is that if there's a will, there are most likely at least 7 ways!

To make sure that users' responses are anonymous in your Google Form, all you have to do is go into the Settings (the wheel cog thing), make sure that "Automatically collect respondent's Your Domain username" is unchecked, and switch it so that "Anyone" can respond (not just users in your organization). Here is what it looks like: